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CAGD中参数曲面的光滑拼接研究

Investigation of Smooth Joining of Parametric Surfaces in CAGD
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摘要 参数曲面作为CAGD中形状数学描述的标准形式一直受到关注,而参数曲面的光滑拼接作为实现复杂客体几何造型的重要手段一直是该领域的一个热点和难点问题。以不同参数域的参数曲面为线索,对常用的矩形域和三角域参数曲面的GC1光滑拼接的条件进行了分析,同时对这些条件在实际应用中的一些问题进行了讨论,最后对曲面光滑拼接中一些令人关注问题进行了展望。 As a standard form to express figure math,people always pay attention to parametric surface,and as an important means of complex object geometric modeling, smooth joining of parametric surfaces is always a hotspot and difficulty of this area. Through the thread of different domains parametric surfaces, this paper analyses the GClsmooth joining condition of common rectangular and triangular parametric surface,and discusses some questions about the practical application of these conditions. In the end takes a long view of some interested problems on smooth joining of surfaces.
出处 《计算机科学》 CSCD 北大核心 2008年第10期215-218,共4页 Computer Science
基金 辽宁省高等学校优秀人才支持计划(RC-04-11) 辽宁省自然科学基金(20072156) 辽宁省教育厅科学技术研究项目(20060486) 南京邮电学院图像处理与图像通信江苏省重点实验室开放基金(ZK207006)资助
关键词 参数曲面 几何连续 光滑拼接 Parametric surface,Geometric continuity, Smooth joining
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参考文献20

  • 1Bezier P. Numurical Control.. Mathematics and Applications. Wiley, translated by Forre st R, 1972
  • 2Boehm W,Farin G,Kahmann J. A survey of curve and surface methods in CAGD. CAGD, 1984(1):1-60
  • 3Liu D, Hosechek J. GC^1 contunuity conditions between adjacent rectangular Bezier surface patches. Computer Aided Geometric Design, 1989,21 (4): 194-200
  • 4白鸿武.双三次Bézier曲面片光滑拼接条件的一个推导[J].咸阳师范学院学报,2004,19(6):6-7. 被引量:1
  • 5DeRose T D. Necessary and sufficient conditions for tangent plane continuity of Bezier surfaces[J].CAGD, 1990, 7 (1/4): 165-180
  • 6Liu D. GC^1 continuity conditions between two adjacent rational Bezier surface patches[J]. Computer Aided Geometric Design, 1990, (7) : 151-163
  • 7Degen W L F. Explicit continuity conditions for adjacent Bezier surface patches[J]. Computer Aided Geometric Design, 1990,7 (20):181-189
  • 8曲学军,宁涛,席平.B样条曲面的光滑拼接[J].计算机辅助设计与图形学学报,2004,16(1):138-141. 被引量:13
  • 9施锡泉,赵岩.双三次B样条曲面的G^1连续条件[J].计算机辅助设计与图形学学报,2002,14(7):676-682. 被引量:25
  • 10Du W H, Francis J M. On the G^1 continuity of piecewise Bezier surface:A review with new results[J]. Computer-Aided Geometric Design, 1990,22(9) : 556-573

二级参考文献34

  • 1许有信,丁金扣.三角域上的九参B-B插值曲面及其凸性[J].南京航空学院学报,1989,21(1):109-115. 被引量:1
  • 2朱仁芝,程谟嵩.拟合任意空间曲面的三角函数方法[J].计算机辅助设计与图形学学报,1996,8(2):108-114. 被引量:48
  • 3周西军,杨海成.NURBS曲面G^1光滑拼接算法[J].计算机辅助设计与图形学学报,1996,8(3):227-233. 被引量:11
  • 4孙家昶.样条函数与计算几何[M].北京:科学出版社,1982..
  • 5方德值.微分几何[M].北京:人民教育出版社,1964.109-168.
  • 6朱心雄.自由曲线曲面造型技术[J].北京:科学出版社,2000,:82-84.
  • 7Diams E, Briassoulis D. 3D geometric modeling based on NURBS: a review [J]. Advances in Engineering Software 1999, 30(9-11) :741-751.
  • 8Les A Piegl, Wayne Tiller. Computing the derivative of NURBS with respe- to a knot[J]. Computer Aided Geometric Design, 1998, 15(9): 925-934.
  • 9Kouichi Konno, Yoshimasa Tokuyama, Hiroaki Chiyokura. A G^1 connection around complicated curve meshes using G^1 NURBS boundary gregory patches[J]. Computer-Aided Design, 2001, 33(4): 293-306.
  • 10G Farin, Rational Curves and Surfaces, in: T Lyche, L Schumaker ( Eds. ),Mathematical Methods in Computer Aided Geometric Desioa. Academic Press, Boston. 1989.

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